{"text_format":"2","workbook":"xls","n_sheets":2,"sheets":["Solow model finished","Graph"],"not_rendered":{"charts":1,"images":0,"macros":0,"external_links":1,"defined_names":22,"comments":0,"pivot_tables":0},"unopened":[{"sheet":"Graph","index":1,"reason":"not_a_worksheet"}],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"run_cost":"one","rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900","formulas":"cached_only"}

{"sheet":"Solow model finished","index":0,"n_rows":32,"n_cols":52,"rows_kept":32,"cut":false,"hidden":false,"merged":[],"flags":["formulas_cached_only"]}
["Year",0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50]
["PARAMETERS"]
["s (savings rate)",0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03,0.03]
["n (labor force growth rate)",0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015,0.015]
["g (labor productivity growth rate)",0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01,0.01]
["d (capital depreciation rate)",0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05,0.05]
["A (C-D technology index)",1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]
["q (C-D parameter)",0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3,0.3]
["EFFECTIVE LABOR SUPPLY"]
["AN (AN(t)=AN(t-1) + DAN)",10,10.25,10.50625,10.768906249999999,11.038128906249998,11.314082128906248,11.596934182128905,11.886857536682127,12.18402897509918,12.48862969947666,12.800845441963576,13.120866578012665,13.448888242462981,13.785110448524556,14.12973820973767,14.482981664981113,14.84505620660564,15.216182611770781,15.59658717706505,15.986501856491676,16.38616440290397,16.795818512976567,17.21571397580098,17.646106825196004,18.087259495825904,18.539440983221553,19.002927007802093,19.478000182997146,19.964950187572075,20.464073942261376,20.97567579081791,21.50006768558836,22.03756937772807,22.58850861217127,23.153221327475553,23.73205186066244,24.325353157179002,24.933486986108477,25.556824160761188,26.19574476478022,26.850638383899724,27.52190434349722,28.20995195208465,28.91520075088677,29.638080769658938,30.37903278890041,31.13850860862292,31.916971323838492,32.714895606934455,33.53276799710782,34.371087197035514]
["(n+g)AN (Change in effective labor supply)",0.25,0.25625000000000003,0.26265625,0.26922265624999997,0.27595322265624994,0.2828520532226562,0.28992335455322266,0.2971714384170532,0.30460072437747954,0.3122157424869165,0.32002113604908944,0.32802166445031666,0.33622220606157455,0.3446277612131139,0.3532434552434418,0.36207454162452785,0.37112640516514106,0.3804045652942696,0.3899146794266263,0.39966254641229193,0.4096541100725992,0.4198954628244142,0.43039284939502453,0.4411526706299001,0.4521814873956476,0.46348602458053884,0.4750731751950523,0.48695000457492865,0.4991237546893019,0.5116018485565345,0.5243918947704478,0.537501692139709,0.5509392344432017,0.5647127153042818,0.5788305331868888,0.593301296516561,0.6081338289294751,0.623337174652712,0.6389206040190297,0.6548936191195055,0.6712659595974931,0.6880476085874305,0.7052487988021163,0.7228800187721692,0.7409520192414735,0.7594758197225103,0.7784627152155731,0.7979242830959623,0.8178723901733614,0.8383191999276955,0.8592771799258879]
["BALANCED GROWTH PATH"]
["K* (K*=Y* (s/(n+g+d))",2.70093587460062,2.7684592714656344,2.8376707532522767,2.908612522083583,2.981327835135671,3.0558610310140635,3.1322575567894164,3.2105639957091503,3.290828095601879,3.3730987979919256,3.457426267941724,3.5438619246402667,3.6324584727562743,3.7232699345751805,3.8163516829395596,3.911760475013048,4.009554486888375,4.109793349060586,4.2125381827871,4.317851637356778,4.425797928290695,4.536442876497965,4.649853948410413,4.766100297120672,4.88525280454869,5.007384124662406,5.132568727778965,5.260882945973441,5.392405019622779,5.527215145113348,5.665395523741179,5.807030411834709,5.9522061721305795,6.101011326433845,6.25353660959469,6.409875024834555,6.570121900455417,6.734374947966806,6.9027343216659744,7.075302679707626,7.252185246700314,7.433489877867822,7.619327124814519,7.80981030293488,8.005055560508255,8.205181949520966,8.410311498258986,8.62056928571546,8.836083517858341,9.056985605804805,9.283410245949923]
["Y* (Y*= A(K*^q)(AN)^(1-q))",6.752339686501551,6.921148178664088,7.094176883130693,7.271531305208958,7.45331958783918,7.63965257753516,7.830643891973542,8.026409989272878,8.2270702390047,8.432746994979816,8.643565669854311,8.859654811600668,9.081146181890688,9.308174836437953,9.540879207348901,9.779401187532622,10.023886217220939,10.274483372651467,10.53134545696775,10.794629093391947,11.06449482072674,11.341107191244914,11.624634871026034,11.915250742801682,12.213132011371728,12.518460311656018,12.831421819447415,13.152207364933608,13.48101254905695,13.818037862783374,14.16348880935295,14.517576029586774,14.88051543032645,15.252528316084616,15.633841523986728,16.024687562086392,16.425304751138547,16.83593736991702,17.25683580416494,17.68825669926907,18.13046311675079,18.58372469466956,19.048317812036302,19.524525757337205,20.012638901270645,20.51295487380242,21.02577874564747,21.551423214288654,22.09020879464586,22.64246401451202,23.208525614874816]
["Y* growth rate (Y*(t) - Y*(t-1))/Y*(t-1)","--",0.024999999999999706,0.025000000000000473,0.024999999999999675,0.024999999999999665,0.02500000000000013,0.02500000000000044,0.02499999999999962,0.025,0.024999999999999793,0.025000000000000022,0.024999999999999918,0.025000000000000307,0.024999999999999765,0.024999999999999932,0.02499999999999987,0.025000000000000123,0.02500000000000045,0.024999999999999706,0.025000000000000248,0.02499999999999944,0.02500000000000054,0.02499999999999972,0.02499999999999975,0.025000000000000373,0.024999999999999675,0.024999999999999793,0.025000000000000522,0.025000000000000234,0.024999999999999956,0.0249999999999994,0.02500000000000001,0.02500000000000052,0.02500000000000027,0.024999999999999776,0.02499999999999971,0.024999999999999745,0.025000000000000487,0.024999999999999703,0.025000000000000303,0.02499999999999967,0.02500000000000002,0.025000000000000206,0.02499999999999976,0.025000000000000487,0.02500000000000052,0.024999999999999505,0.024999999999999797,0.024999999999999547,0.025000000000000515,0.024999999999999856]
["K*/Y* (capital to output ratio)",0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.39999999999999986,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.39999999999999986,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.39999999999999997,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.3999999999999999,0.39999999999999986,0.3999999999999999,0.39999999999999986,0.3999999999999999,0.39999999999999986,0.39999999999999986,0.39999999999999986]
["ACTUAL GDP PATH"]
["Investment"]
["S (Total saving)",0.20257019059504652,0.20763444535992262,0.21282530649392079,0.21814593915626873,0.22359958763517537,0.2291895773260548,0.23491931675920627,0.24079229967818633,0.246812107170141,0.25298240984939446,0.2593069700956293,0.26578964434802005,0.2724343854567206,0.2792452450931386,0.28622637622046704,0.29338203562597864,0.30071658651662814,0.308234501179544,0.3159403637090325,0.3238388728017584,0.33193484462180217,0.34023321573734744,0.348739046130781,0.3574575222840504,0.36639396034115185,0.3755538093496805,0.38494265458342247,0.3945662209480082,0.4044303764717085,0.4145411358835012,0.4249046642805885,0.43552728088760323,0.4464154629097935,0.4575758494825385,0.46901524571960185,0.4807406268625917,0.4927591425341564,0.5050781210975106,0.5177050741249482,0.530647700978072,0.5439138935025236,0.5575117408400868,0.571449534361089,0.5857357727201161,0.6003791670381193,0.6153886462140726,0.6307733623694242,0.6465426964286596,0.6627062638393758,0.6792739204353605,0.6962557684462445]
["I (Gross investment)",0.20257019059504652,0.20763444535992262,0.21282530649392079,0.21814593915626873,0.22359958763517537,0.2291895773260548,0.23491931675920627,0.24079229967818633,0.246812107170141,0.25298240984939446,0.2593069700956293,0.26578964434802005,0.2724343854567206,0.2792452450931386,0.28622637622046704,0.29338203562597864,0.30071658651662814,0.308234501179544,0.3159403637090325,0.3238388728017584,0.33193484462180217,0.34023321573734744,0.348739046130781,0.3574575222840504,0.36639396034115185,0.3755538093496805,0.38494265458342247,0.3945662209480082,0.4044303764717085,0.4145411358835012,0.4249046642805885,0.43552728088760323,0.4464154629097935,0.4575758494825385,0.46901524571960185,0.4807406268625917,0.4927591425341564,0.5050781210975106,0.5177050741249482,0.530647700978072,0.5439138935025236,0.5575117408400868,0.571449534361089,0.5857357727201161,0.6003791670381193,0.6153886462140726,0.6307733623694242,0.6465426964286596,0.6627062638393758,0.6792739204353605,0.6962557684462445]
["dK (capital depreciation)",0.13504679373008094,0.13842296357332923,0.1418835376626589,0.14543062610422197,0.14906639175682432,0.15279305155074185,0.1566128778395075,0.16052819978549246,0.16454140478012713,0.16865493989962785,0.17287131339711617,0.17719309623204182,0.18162292363784074,0.18616349672878474,0.19081758414700245,0.19558802375067566,0.2004777243444408,0.20548966745305017,0.21062690913937485,0.2158925818678577,0.22128989641455277,0.22682214382491522,0.23249269742053685,0.23830501485604905,0.24426264022744915,0.2503692062331343,0.2566284363889616,0.26304414729868464,0.26962025098115083,0.2763607572556787,0.28326977618706983,0.29035152059174574,0.29761030860653864,0.30505056632170136,0.3126768304797432,0.3204937512417361,0.32850609502277894,0.3367187473983478,0.34513671608330593,0.35376513398538806,0.3626092623350223,0.37167449389339735,0.3809663562407318,0.39049051514674965,0.4002527780254179,0.41025909747605305,0.42051557491295405,0.43102846428577757,0.44180417589292165,0.45284928029024435,0.4641705122975001]
["DK (Net investment)",0.06752339686496558,0.06921148178659339,0.07094176883126188,0.07271531305204676,0.07453319587835106,0.07639652577531295,0.07830643891969877,0.08026409989269387,0.08227070239001386,0.08432746994976661,0.08643565669851314,0.08859654811597822,0.09081146181887986,0.09308174836435384,0.09540879207346459,0.09779401187530298,0.10023886217218733,0.10274483372649382,0.10531345456965766,0.10794629093390068,0.1106449482072494,0.11341107191243222,0.11624634871024414,0.11915250742800138,0.1221313201137027,0.12518460311654622,0.12831421819446087,0.13152207364932356,0.13481012549055765,0.1381803786278225,0.14163488809351865,0.1451757602958575,0.14880515430325486,0.15252528316083713,0.15633841523985864,0.1602468756208556,0.16425304751137748,0.16835937369916282,0.17256835804164222,0.17688256699268395,0.18130463116750134,0.18583724694668946,0.19048317812035725,0.19524525757336647,0.2001263890127014,0.20512954873801958,0.2102577874564701,0.215514232142882,0.22090208794645416,0.22642464014511615,0.23208525614874437]
["Capital stock"]
["K (K(t) = K(t-1) + DK(t-1))",2.7009358746016185,2.7684592714665843,2.8376707532531777,2.9086125220844394,2.981327835136486,3.055861031014837,3.13225755679015,3.210563995709849,3.2908280956025426,3.3730987979925566,3.4574262679423233,3.5438619246408365,3.6324584727568148,3.7232699345756948,3.8163516829400486,3.911760475013513,4.009554486888816,4.109793349061003,4.212538182787497,4.317851637357154,4.425797928291055,4.536442876498304,4.649853948410737,4.766100297120981,4.8852528045489825,5.007384124662686,5.132568727779232,5.260882945973693,5.392405019623016,5.527215145113574,5.665395523741396,5.807030411834915,5.952206172130772,6.101011326434027,6.253536609594864,6.409875024834722,6.570121900455578,6.7343749479669555,6.902734321666118,7.075302679707761,7.252185246700445,7.433489877867946,7.619327124814635,7.809810302934992,8.005055560508358,8.20518194952106,8.41031149825908,8.62056928571555,8.836083517858432,9.056985605804886,9.283410245950002]
["Output"]
["Y* (Y*= A(K*^q)(AN)^(1-q))",6.7523396865022995,6.9211481786648,7.094176883131369,7.2715313052096,7.453319587839791,7.63965257753574,7.830643891974093,8.026409989273402,8.227070239005199,8.432746994980288,8.64356566985476,8.859654811601095,9.081146181891093,9.308174836438338,9.540879207349269,9.779401187532972,10.02388621722127,10.274483372651778,10.531345456968047,10.794629093392228,11.06449482072701,11.34110719124517,11.624634871026279,11.915250742801915,12.213132011371947,12.518460311656229,12.831421819447616,13.152207364933794,13.48101254905713,13.818037862783543,14.163488809353115,14.517576029586928,14.880515430326595,15.252528316084755,15.633841523986858,16.024687562086516,16.42530475113867,16.83593736991713,17.25683580416505,17.68825669926917,18.13046311675089,18.583724694669655,19.04831781203639,19.524525757337287,20.012638901270723,20.512954873802492,21.025778745647543,21.55142321428872,22.09020879464593,22.64246401451208,23.208525614874876]
["Y growth rate  (Y(t) - Y(t-1))/Y(t-1)","--",0.024999999999991543,0.024999999999992636,0.024999999999992535,0.02499999999999318,0.02499999999999391,0.024999999999994704,0.02499999999999446,0.02499999999999527,0.02499999999999504,0.024999999999995883,0.024999999999995946,0.0249999999999967,0.024999999999996497,0.02499999999999699,0.024999999999997045,0.02499999999999723,0.024999999999997673,0.024999999999997566,0.024999999999998027,0.024999999999997802,0.024999999999998645,0.024999999999998218,0.024999999999998156,0.024999999999998693,0.02499999999999865,0.02499999999999852,0.024999999999999023,0.02499999999999934,0.024999999999998832,0.02499999999999884,0.024999999999998964,0.02499999999999952,0.02499999999999967,0.024999999999998967,0.024999999999999162,0.02499999999999933,0.024999999999999654,0.02499999999999954,0.02499999999999973,0.02499999999999932,0.024999999999999686,0.024999999999999693,0.02499999999999927,0.0250000000000002,0.025000000000000067,0.02499999999999942,0.024999999999999543,0.024999999999999467,0.025000000000000116,0.02499999999999979]
["K/Y (capital to output ratio)",0.4000000000001035,0.400000000000096,0.40000000000008884,0.4000000000000824,0.40000000000007646,0.4000000000000708,0.40000000000006547,0.4000000000000608,0.40000000000005626,0.4000000000000523,0.4000000000000485,0.400000000000045,0.4000000000000416,0.4000000000000386,0.40000000000003577,0.40000000000003316,0.4000000000000307,0.4000000000000284,0.4000000000000264,0.40000000000002434,0.40000000000002267,0.40000000000002084,0.4000000000000194,0.40000000000001806,0.4000000000000167,0.4000000000000155,0.4000000000000144,0.4000000000000133,0.4000000000000122,0.40000000000001135,0.4000000000000106,0.40000000000000985,0.400000000000009,0.40000000000000824,0.40000000000000774,0.40000000000000724,0.40000000000000674,0.4000000000000062,0.4000000000000057,0.40000000000000524,0.4000000000000049,0.4000000000000045,0.40000000000000413,0.40000000000000396,0.40000000000000346,0.4000000000000031,0.400000000000003,0.40000000000000285,0.40000000000000274,0.4000000000000024,0.4000000000000022]
["Comparison to steady state"]
["(Y-Y*)/Y*",1.1088518092535889e-13,1.0291920852025328e-13,9.527585631520311e-14,8.83105594255208e-14,8.198585147894388e-14,7.591713133260117e-14,7.032252108648669e-14,6.528762775928743e-14,6.067242133231838e-14,5.603285851713112e-14,5.199454687267256e-14,4.8119892989266034e-14,4.459892520956363e-14,4.1411924563437355e-14,3.8540039944392644e-14,3.57836119667508e-14,3.2961504646852285e-14,3.0255774000520054e-14,2.8168441856930174e-14,2.600037279623173e-14,2.4402943285132603e-14,2.2554710096656568e-14,2.1087737082239884e-14,1.952982366753924e-14,1.7889914809959605e-14,1.6885979475591463e-14,1.564349809995356e-14,1.4181457375308638e-14,1.3308498907374421e-14,1.2212580499401788e-14,1.1663876625872832e-14,1.0645237518499201e-14,9.669349470125426e-15,9.084122356757398e-15,8.29444567909056e-15,7.759588339944395e-15,7.354034942386327e-15,6.541609274432598e-15,6.382057828714732e-15,5.8246947925327195e-15,5.486676339475734e-15,5.161681573722816e-15,4.662765649252769e-15,4.1851164851829734e-15,3.9055169745079695e-15,3.4638731481223657e-15,3.3793884371925535e-15,3.1321161125199282e-15,3.0557230366048094e-15,2.6673833952391134e-15,2.602325263647916e-15]
["(K-K*)/K*",3.6978169024485793e-13,3.4311749848008387e-13,3.1753402178637834e-13,2.9452121219195997e-13,2.733358238805633e-13,2.5315398694753303e-13,2.342193645864436e-13,2.1757931878254058e-13,2.0161164917812205e-13,1.8708339274634243e-13,1.7340078626014815e-13,1.6077557996153212e-13,1.4878533985756292e-13,1.38119264528976e-13,1.2811770524992847e-13,1.188624420342262e-13,1.1009319764439241e-13,1.0157295557317449e-13,9.424620890754334e-14,8.701074124055398e-14,8.127625025064725e-14,7.479079216078828e-14,6.971942060704312e-14,6.48509411861036e-14,5.981485744386901e-14,5.5872726206001175e-14,5.191426360604059e-14,4.777800520490888e-14,4.397734168649717e-14,4.08157295637902e-14,3.840927114702748e-14,3.548412506166401e-14,3.2380383256438546e-14,2.984367120409082e-14,2.7837523169550514e-14,2.605004656981333e-14,2.4468388319336866e-14,2.2157063671465256e-14,2.0844624359915055e-14,1.9080896734158913e-14,1.8003156738904757e-14,1.6727671766694316e-14,1.527055750130282e-14,1.432947492209388e-14,1.2870453665992176e-14,1.1474079803155339e-14,1.1194224198200338e-14,1.0509073798586605e-14,1.025275492545035e-14,9.022032072132298e-15,8.419287617684437e-15]
["Ygrth-Y*grth","--",-8.163608677946854e-15,-7.837480664463214e-15,-7.140121827120538e-15,-6.484396353201305e-15,-6.22071838485283e-15,-5.734995811579324e-15,-5.159067617555024e-15,-4.73232564246473e-15,-4.7531423241764514e-15,-4.139050213680662e-15,-3.972516759986888e-15,-3.608224830031759e-15,-3.2682190287403046e-15,-2.942091015256665e-15,-2.824129818890242e-15,-2.8935187579293142e-15,-2.7755575615628914e-15,-2.14064876935538e-15,-2.220446049250313e-15,-1.6375789613221059e-15,-1.8943180357666733e-15,-1.502270530195915e-15,-1.5959455978986625e-15,-1.6792123247455493e-15,-1.0269562977782698e-15,-1.2732870313669764e-15,-1.4988010832439613e-15,-8.951173136040325e-16,-1.124100812432971e-15,-5.620504062164855e-16,-1.0443035325380379e-15,-9.992007221626409e-16,-6.002143226879753e-16,-8.083811398051921e-16,-5.48172618408671e-16,-4.163336342344337e-16,-8.326672684688674e-16,-1.6306400674181987e-16,-5.724587470723463e-16,-3.469446951953614e-16,-3.3306690738754696e-16,-5.134781488891349e-16,-4.891920202254596e-16,-2.8796409701215e-16,-4.510281037539698e-16,-8.673617379884035e-17,-2.5326962749261384e-16,-7.979727989493313e-17,-3.9898639947466563e-16,-6.591949208711867e-17]